10085625360 has 320 divisors, whose sum is σ = 36935136000. Its totient is φ = 2520834048.

The previous prime is 10085625289. The next prime is 10085625421. The reversal of 10085625360 is 6352658001.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12814887 + ... + 12815673.

It is an arithmetic number, because the mean of its divisors is an integer number (115422300).

Almost surely, 2^10085625360 is an apocalyptic number.

10085625360 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10085625360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18467568000).

10085625360 is an abundant number, since it is smaller than the sum of its proper divisors (26849510640).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10085625360 is a wasteful number, since it uses less digits than its factorization.

10085625360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1175 (or 1163 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 10085625360 in words is "ten billion, eighty-five million, six hundred twenty-five thousand, three hundred sixty".